Question
Download Solution PDFThe shadow of a candle fell on the table and made a right-angled triangle with an angle of elevation of 600 from the surface of the table to the upper tip of the flame of the candle. If the length of the candle is 21 cm, how long is the tip of the shadow on the table away from the base of the candle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Angle of elevation = 60°
Length of candle = 21 cm
Tan 60° = √3
Tan θ = perpendicular / base
According to question:
Tan 60° = height of candal / distance of tip of candal shadow to its base
⇒ √3 = 21 / distance of tip of candal shadow to its base
⇒ Distance of tip of candal shadow to its base = 21 / √3
⇒ Distance of tip of candal shadow to its base = (21√3) / √3
⇒ Distance of tip of candal shadow to its base = 7√3 cm
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